A moment invariant for evaluating the chirality of three-dimensional objects.

ABSTRACT: Chirality is an important feature of three-dimensional objects and a key concept in chemistry, biology and many other disciplines. However, it has been difficult to quantify, largely owing to computational complications. Here we present a general chirality measure, called the chiral invariant (CI), which is applicable to any three-dimensional object containing a large amount of data. The CI distinguishes the hand of the object and quantifies the degree of its handedness. It is invariant to the translation, rotation and scale of the object, and tolerant to a modest amount of noise in the experimental data. The invariant is expressed in terms of moments and can be computed in almost no time. Because of its universality and computational efficiency, the CI is suitable for a wide range of patt

SUBMITTER: Hattne J 

PROVIDER: S-EPMC3024826 | biostudies-literature | 2011 Jan

REPOSITORIES: biostudies-literature